Duality for coloured quantum groups

Deepak Parashar
(Please use for correspondence this email).

Submission date: 14. Oct. 2000
Pages: 17
published in: Letters in mathematical physics, 53 (2000) 1, p. 29-40 
DOI number (of the published article): 10.1023/A:1026590128277
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Abstract:
Duality between the coloured quantum group and the coloured quantum algebra corresponding to GL(2) is established. The coloured functionals are constructed and the dual algebra is derived explicitly. These functionals are then employed to give a coloured generalisation of the differential calculus on quantum GL(2) within the framework of the R-matrix approach.